The quotient of 2 numbers is 20. their sum is 84. what are the two numbers?

Assume that the two numbers are m and n where m is greater than n.

We know that the quotient of the two numbers is 20. This means that:
m / n = 20
m = 20 n > equation I

We also know that the sum of the two numbers is 84. This means that:
m + n = 84 > equation II

Substitute by equation I in equation II as follows:
20n + n = 84
21n = 84
n = 4

Substitute with the value of n in equation I to get m as follows:
m = 20n
m = 20*4 = 80

Based on the above calculations:
The two numbers are 80 and 4